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Chapter 5: Q.127 (page 626)

In the following exercises, solve the systems of equations by elimination.

-3x+y=-9x-2y=-12

Short Answer

Expert verified

The solution of the system isx,y=(6,9).

Step by step solution

01

Step 1. Given information

The given system is-3x+y=-9x-2y=-12

02

Step 2. solve for y

-3x+y=-9x-2y=-12Given-3x+y=-93(x-2y)=3(-12)multiplysecondequationwith3-3x+y=-93x-6y=-36simplify

Add both equations

-3x+y=-93x-6y=-36-5y=-45y=-45-5y=9

03

Step 3. solve for x

-3x+y=-9firstequation-3x+9=-9usey=9-3x=-9-9solveforx-3x=-18x=-18-3x=6

Hence,(x,y)=(6,9)

04

Step 4. Verify the solution

-3x+y=-9鈬�-3(6)+9=-9-18+9=-9-9=-9truex-2y=-12鈬�6-2(9)=-126-18=-12-12=-12true

Both equations are true.

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